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Finding the Fourth Proportional to 195,430.40, 293,145.60 and 84,838.40

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Solution

The fourth proportional to 195,430.40, 293,145.60 and 84,838.40 is: 127,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,430.40 : 293,145.60 = 84,838.40 : x
  2. Step 2: Convert to fraction form
    195,430.40/293,145.60 = 84,838.40/x
  3. Step 3: Cross multiply
    195,430.40x = 293,145.60 × 84,838.40
  4. Step 4: Simplify right side
    195,430.40x = 24,870,003,671.04
  5. Step 5: Solve for x
    x = 24,870,003,671.04/195,430.40
  6. Step 6: Final answer
    x = 127,257.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.